2682560320 has 168 divisors, whose sum is σ = 7266508200. Its totient is φ = 941445120.

The previous prime is 2682560207. The next prime is 2682560323. The reversal of 2682560320 is 230652862.

It can be written as a sum of positive squares in 4 ways, for example, as 95413824 + 2587146496 = 9768^2 + 50864^2 .

It is a super-2 number, since 2×2682560320² = 14392259740877004800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2682560323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1121686 + ... + 1124074.

It is an arithmetic number, because the mean of its divisors is an integer number (43253025).

Almost surely, 2^2682560320 is an apocalyptic number.

2682560320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2682560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633254100).

2682560320 is an abundant number, since it is smaller than the sum of its proper divisors (4583947880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2682560320 is a wasteful number, since it uses less digits than its factorization.

2682560320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 2682560320 is about 51793.4389667263. The cubic root of 2682560320 is about 1389.4721042867.

The spelling of 2682560320 in words is "two billion, six hundred eighty-two million, five hundred sixty thousand, three hundred twenty".